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cot | Lizzy: There's a Bobbit worm hiding in the bottom of James' aquarium. Every day it eats 2 fish. After two weeks, James adds 8 more fish to the aquarium. A week later, he discovers the Bobbit worm. If the aquarium had 60 fish to start with, how many does it have when James discovers the Bobbit worm?. Me: Hmmm, let me think. I think this is the detailed solution: | First find the total number of weeks the Bobbit worm preys on the fish: 2 weeks + 1 week = 3 weeks. Then multiply that number by the number of days per week: 3 weeks * 7 days / week = 21 days. Then multiply that number by the number of fish the worm eats per day to find how many fish it eats total: 21 days * 2 fish / day = 42 fish. Then add the number of fish James adds to the starting number of fish to find the ending number of fish: 60 fish + 8 fish = 68 fish. Then subtract the number of eaten fish to find the number of surviving fish: 68 fish - 42 fish = 26 fish. Final answer: 26. |
cot | Question: Bill is laying power cable for a new neighborhood. There are going to be 18 east-west streets that are 2 miles long and 10 north-south streets that are four miles long. It takes 5 miles of cable to electrify 1 mile of street. If cable costs $2000/mile, what is the total cost of cable for the neighborhood? Think carefully first, then make a decision: | First find the total distance of the east - west streets: 18 streets * 2 miles / street = 36 miles. Then find the total distance of the north - south streets: 10 streets * 4 miles / street = 40 miles. Then add the number of miles from each type of street to find the total distance: 36 miles + 40 miles = 76 miles. Then multiply that number by 5 to find the number of miles of cable needed: 76 miles street * 5 miles cable / mile street = 380 miles of cable. Then multiply that number by the cost of one mile of cable to find the total cost: 380 miles * $2000 / mile = $760,000. So the answer is 760000. |
cot | Bill and Ted went into the forest to gather some wild mushrooms. Bill gathered 12 red mushrooms and 6 brown mushrooms. Ted gathered 14 green mushrooms and 6 blue mushrooms. If half of the blue mushrooms, two-thirds of the red mushrooms, and all of the brown mushrooms have white spots, how many white-spotted mushrooms did they gather? Thoughts? Step-by-step reasoning: | Of the 12 red mushrooms, 2 / 3 had spots, for a total of (2 / 3) * 12 = 8 white - spotted mushrooms. Of the 6 brown mushrooms, 100% had spots, for a total of (100 / 100) * 6 = 6 white - spotted mushrooms. Of the 14 green mushrooms, 0% had white spots, for a total of 14 * 0 = 0 white - spotted mushrooms. And of the 6 blue mushrooms, half had spots, for a total of (1 / 2) * 6 = 3 white - spotted mushrooms. In total, they gathered 8 + 6 + 0 + 3 = 17 white - spotted mushrooms. Thus, the answer is 17. |
cot | A wild tiger escapes the zoo. He escapes at 1 AM and zookeepers do not notice he is missing until 4 AM. He runs at a speed of 25 mph. It takes 2 more hours to find him but after 4 hours of running, the tiger slows his speed to 10 mph. He then gets chased for half an hour going 50 mph. How far away from the zoo was he caught? Think carefully first, then make a decision: | He was running for 4 - 1 = 3 hours. So in that time he runs 3 * 25 = 75 miles. Since he slowed down after 4 hours, the time he spent running at 25mph was an additional 4 - 3 = 1 hours. So in the first hour they were finding him, he ran 1 * 25 = 25 miles. In the second hour they were finding him, he ran 1 * 10 = 10 miles. Finally, during the chase, he ran 50 * .5 = 25 miles. So he is 75 + 25 + 10 + 25 = 135 miles away. So, the answer is 135. |
cot | Martin rings the small bell 4 times more than 1/3 as often as the big bell. If he rings both of them a combined total of 52 times, how many times does he ring the big bell? Think carefully first, then make a decision: | Let s be the number of times the small bell rings, and b be the number of times the big bell rings. We know that s + b = 52 and s = 4 + 1 / 3b. Substituting the second equation into the first equation, we get 4 + 1 / 3b + b = 52. Subtracting 4 from both sides, we get 1 / 3b + b = 48. Combining like terms, we get 4 / 3b = 48. Dividing both sides of the equation by 4 / 3, we get b = 36. So, the answer is 36. |
cot | Give the step-by-step reasoning process and then the final answer. Miriam is trying to exercise more and figures if she counts her exercises it will be encouraging to see her numbers go up. On Monday she does 5 push-ups. On Tuesday she does 7 push-ups. On Wednesday she does twice as many push-ups as the day before. On Thursday she does half the number of total pushups she already did that week. Finally, on Friday she does as many pushups as the total number she did over the previous four days. How many pushups does Miriam do on Friday? | On Monday Miriam does 5 push - ups + 7 push - ups on Tuesday = 12 push - ups on both days. On Wednesday she does twice as many push - ups as she did on Tuesday, 7 x 2 = 14 push - ups on Wednesday. Over the first 3 days, she did a total of 14 + 12 = 26 pushups. On Thursday Miriam did 1 / 2 the same number of total pushups she had already done that week, so she did 1 / 2 x 26 = 13 pushups on Thursday. On Friday she does as many push - ups as the total of what she had done over the previous four days, so she did 5 + 7 + 14 + 13 = 39 push - ups on Friday. The final answer: 39. |
cot | The country of Belize had a 5 lane bridge that had 2000 vehicles passing through it every month. They decided to build a new bridge that had twice the capacity of the old one, and the number of vehicles passing through the new one increased by 60% more than the old bridge. If the bridges work concurrently for a year, calculate the total number of vehicles that pass through the two bridges. Let's answer step by step: | In a year with 12 months, the total number of vehicles passing through the old bridge is 2000 * 12 = 24000. The new bridge has a capacity of 60 / 100 * 2000 = 1200 more vehicles passing through it in a month than the old one. The total number of vehicles passing through the new bridge in a month is 2000 + 1200 = 3200. There are 3200 * 12 = 38400 vehicles passing through the new bridge in a year. Altogether, the two bridges have 38400 + 24000 = 62400 vehicles passing through them in a year. The answer: 62400. |
cot | My question is: Jacque arrived in France and his suitcase weighed 5 pounds. While in France, he picked up 5 bottles of perfume that weighed 1.2 ounces each, 4 pounds of chocolate, 2 bars of soap that weighed 5 ounces each and 2 jars of jam that weighed 8 ounces each. Considering 16 ounces is the same as 1 pound, how much did Jacque's suitcase weigh on the return flight home? Your thoughts: | He bought 5 bottles of perfume that weighed 1.2 oz each so they weighed 5 * 1.2 = 6 oz. 2 bars of soap weighed 5 oz each so they weighed 2 * 5 = 10 oz. 2 jars of jam weighed 8 oz each so they weighed 2 * 8 = 16 oz. The perfume is 6 oz, the soap is 10 oz and the jam is 16 oz for a total of 6 + 10 + 16 = 32 oz. 16 oz is 1 pound, and he had 32 oz in products so he had 32 / 16 = 2 pounds of products. His suitcase weighed 5 pounds, and the chocolate weighed 4 pounds and the remaining products weighed 2 pounds so his suitcase weighed 5 + 4 + 2 = 11 pounds. The final answer: 11. |
cot | Lizzy: A state fair charges $5 for a ticket. Two-thirds of the people who buy a ticket will buy deep-fried fair food for $8, one quarter will go on a ride for $4, and one eighth will spend $15 on a souvenir. The fair made $2520 from tickets. How many dollars did they make in all?. Me: Hmmm, let me think. I think this is the detailed solution: | The fair made $2520 from tickets, so they had 2520 / 5 = 504 people attend the fair. Two - thirds of those people will buy food, so 504 * 2 / 3 = 336 people will buy food. The fair will make 336 * 8 = $2688 from food. A quarter of the people will go on a ride, so 504 / 4 = 126 people will go on a ride. The fair will make 126 * 4 = $504 from rides. An eighth of the people will buy a souvenir, so 504 / 8 = 63 people will buy souvenirs. The fair will make 63 * 15 = $945 from souvenirs. In all, the fair will make 2520 + 2688 + 504 + 945 = $6657. Final answer: 6657. |
cot | Bella has two times as many marbles as frisbees. She also has 20 more frisbees than deck cards. If she buys 2/5 times more of each item, what would be the total number of the items she will have if she currently has 60 marbles? Let's answer step by step: | When Bella buys 2 / 5 times more marbles, she'll have increased the number of marbles by 2 / 5 * 60 = 24. The total number of marbles she'll have is 60 + 24 = 84. If Bella currently has 60 marbles, and she has two times as many marbles as frisbees, she has 60 / 2 = 30 frisbees. If Bella buys 2 / 5 times more frisbees, she'll have 2 / 5 * 30 = 12 more frisbees. The total number of frisbees she'll have will increase to 30 + 12 = 42. Bella also has 20 more frisbees than deck cards, meaning she has 30 - 20 = 10 deck cards. If she buys 2 / 5 times more deck cards, she'll have 2 / 5 * 10 = 4 more deck cards. The total number of deck cards she'll have is 10 + 4 = 14. Together, Bella will have a total of 14 + 42 + 84 = 140 items. The answer: 140. |
cot | Give the step-by-step reasoning process and then the final answer. Paul lives in a 5th story apartment. He makes 3 trips out from and back to his apartment throughout the day each day of a week. How many feet does he travel vertically in total over the week if each story is 10 feet tall? | Since Paul makes 3 trips per day, and each trip involves going both down and up, this means he travels the full vertical distance of his apartment complex 3 * 2 = 6 times a day. Since there are 7 days in a week, this means he makes this trip 6 * 7 = 42 times a week. Since each story is 10 feet tall, that means with 5 stories he travels 5 * 10 = 50 feet each trip. Since he made 42 trips of 50 feet each, this means he traveled 50 * 42 = 2100 feet in a week. The final answer: 2100. |
cot | In conjunction with the film's setting, shooting took place at several locations in the Cascade Range of Washington state near I-90 and the town of Index near US 2 as well as Seattle's Wallingford, Ballard and Beacon Hill neighborhoods and other locations in or around Seattle's I-5 corridor. While the film received mixed reviews, it was a box office success, with a combined domestic and international return of just under $50 million against a production budget of $16 million. Answer this question: where did they film harry and the hendersons? Let's think fast. Stream of consciousness: | To answer the above question, the relevant sentence is: In conjunction with the film's setting, shooting took place at several locations in the Cascade Range of Washington state near I-90 and the town of Index near US 2 as well as Seattle's Wallingford, Ballard and Beacon Hill neighborhoods and other locations in or around Seattle's I-5 corridor. So the final answer is In conjunction with the film 's setting , shooting took place at several locations in the Cascade Range of Washington state near I - 90 and the town of Index near US 2 as well as Seattle 's Wallingford , Ballard and Beacon Hill neighborhoods and other locations in or around Seattle 's I - 5 corridor. |
cot | My question is: Noah’s bedroom light uses 6 watts per hour. His office light is much brighter so he can see to work and uses three times as much energy. The living room light has a much larger space to cover and has to be more powerful, so it uses four times as much energy as his bedroom light. If Noah leaves all those lights on for two hours, how many watts has he used? Your thoughts: | Noah’s bedroom light uses 6 watts per hour, so it would use 2 * 6 = 12 watts in two hours. His office light uses 3 times as many watts as his bedroom light, so it uses 3 * 6 = 18 watts per hour. In two hours, the office light would use 18 * 2 = 36 watts. The living room light uses 4 times as many watts as his bedroom light, so it uses 4 * 6 = 24 watts per hour. In two hours, the living room light would use 24 * 2 = 48 watts. Thus, if Noah leaves all those lights on for two hours, he has used 12 + 36 + 48 = 96 watts. The final answer: 96. |
cot | Scott wants to make and freeze a large batch of ratatouille. At the farmers' market he buys 5 pounds of eggplants and 4 pounds of zucchini at $2.00 a pound. He needs 4 pounds of tomatoes that are $3.50 a pound. The onions are $1.00 a pound and he needs 3 pounds. Then he needs a pound of basil which is sold for $2.50 per half pound. If this yields 4 quarts, how much does each quart cost? Let's be accurate as possible. | He buys 5 pounds of eggplants and 4 pounds of zucchini so he buys 5 + 4 = 9 pounds of produce. These 9 pounds are $2.00 a pound for a total of 9 * 2 = $18.00. He needs 4 pounds of tomatoes that are $3.50 a pound for a total of 4 * 3.50 = $14.00. He needs 3 pounds of onions that are $1.00 a pound so that's 3 * 1 = $3.00. The basil is sold by the half - pound and he needs a full pound so that's 2.50 * 2 = $5.00. The eggplants and zucchinis cost $18.00, the tomatoes are $14.00, the onions are $3.00 and the basil is $5.00 for a total of 18 + 14 + 3 + 5 = $40.00. This recipe makes 4 quarts and the total price of the vegetables was $40.00 so each quart costs 40 / 4 = $10.00. The answer: 10. |
cot | The Roman Catholic Church has a total of 197 particular churches -- consisting of 32 territorial archdioceses, 145 territorial dioceses, the Archdiocese for the Military Services, USA (serving members of the US Armed Forces and Diplomatic Corps, and those in facilities of the Veterans Administration and their dependents), and the Personal Ordinariate of the Chair of Saint Peter (serving Catholics who were formerly Anglicans) within the Roman Rite; and two archieparchies and 16 eparchies in the Eastern Catholic Churches -- in the 50 United States and the US Virgin Islands. The pastor of any particular church other than an ordinariate must be episcopally ordained, but his title conforms to that of his jurisdiction: the pastor of an archdiocese is an archbishop, the pastor of a diocese is a bishop, the pastor of an archieparchy is an archieparch, the pastor of an eparchy is an eparch, and the pastor of an exarchate is an exarch. The pastor of an ordinariate, titled the "ordinary" (which is a term also used generically for the pastor of any particular church), may be either a bishop if celibate, or a presbyter (priest) if married, but he holds the same power of governance of his ordinariate that a bishop has of his diocese in either case; Pope Benedict XVI deliberately instituted this provision to permit married, former Anglican bishops who come into full communion with the Catholic Church along with many of their congregants to accede to office while respecting sensitivities in ecumenical relations with the Eastern Orthodox Churches, which also maintain a celibate episcopacy. The pastor of each particular church is, ex officio, a full member of the United States Conference of Catholic Bishops (USCCB). Auxiliary and retired bishops are also members of the Conference but have no vote. Answer this question based on the passage: how many dioceses are there in the united states? Okie... think carefully first, then make a decision: | To answer the above question, the relevant sentence is: The Roman Catholic Church has a total of 197 particular churches -- consisting of 32 territorial archdioceses, 145 territorial dioceses, the Archdiocese for the Military Services, USA (serving members of the US Armed Forces and Diplomatic Corps, and those in facilities of the Veterans Administration and their dependents), and the Personal Ordinariate of the Chair of Saint Peter (serving Catholics who were formerly Anglicans) within the Roman Rite; and two archieparchies and 16 eparchies in the Eastern Catholic Churches -- in the 50 United States and the US Virgin Islands. So, the answer is 32 territorial archdioceses , 145 territorial dioceses , the Archdiocese for the Military Services. |
cot | Salman bin Abdulaziz Al Saud (Arabic: ⁇ ⁇ ⁇ ⁇ ⁇ ⁇ Salm ⁇ n ibn' Abd al -' Az ⁇ z ⁇ l Sa' ⁇ d Arabic pronunciation: ( s ⁇ m ⁇ n ib ⁇ n ⁇ ab ⁇ du ⁇ ⁇ azi ⁇ z ⁇ sa ⁇ u ⁇ d); born 31 December 1935 ) is a Saudi Arabian politician and royal statesman who has been King of Saudi Arabia, Prime Minister, Custodian of the Two Holy Mosques and head of the House of Saud since 2015. Answer this question based on the passage: who is the current leader of saudi arabia? Okie... think carefully first, then make a decision: | The relevant information is: Salman bin Abdulaziz Al Saud (Arabic: ⁇ ⁇ ⁇ ⁇ ⁇ ⁇ Salm ⁇ n ibn' Abd al -' Az ⁇ z ⁇ l Sa' ⁇ d Arabic pronunciation: ( s ⁇ m ⁇ n ib ⁇ n ⁇ ab ⁇ du ⁇ ⁇ azi ⁇ z ⁇ sa ⁇ u ⁇ d); born 31 December 1935 ) is a Saudi Arabian politician and royal statesman who has been King of Saudi Arabia, Prime Minister, Custodian of the Two Holy Mosques and head of the House of Saud since 2015. So, the answer is Salman bin Abdulaziz Al Saud. |
cot | Lizzy: A jar on the family's counter contains change they've been saving a trip to the ice cream shop. There are 123 pennies, 85 nickels, 35 dimes, and a number of quarters. All five family members get a double scoop, which costs $3 each. After the trip, they have 48 cents left over. How many quarters were in the jar?. Me: Hmmm, let me think. I think this is the detailed solution: | The family spent $15 on ice cream because 5 x 3 = 15. They total amount of change they had was $15.48 because 15 + .48 = 15.48. They have $1.23 in pennies because 123 x .01 = 1.23. They have $4.25 in nickels because 85 x .05 = 4.25. They have $3.50 in dimes because 35 x .1 = 3.5. Without the quarters they have a total of $8.98 because 1.23 + 4.25 + 3.5 = 8.98. They have $6.5 worth of quarters because 15.48 - 8.98 = 6.5. They have 26 quarters because 6.5 / .25 = 26. Final answer: 26. |
cot | My question is: Flynn watches 30 minutes of tv every night during the weekdays. On the weekends, she watches an additional 2 hours of TV in total. How many hours of tv does she watch in 52 weeks? Your thoughts: | She watches 30 minutes of tv per night, 5 days a week so that's 30 * 5 = 150 minutes of tv. She watches 2 hours of tv on the weekends and 60 minutes are in 1 hour so that's 2 * 60 = 120 minutes of tv. All total she watches 150 + 120 = 270 minutes of tv per week. There are 52 weeks in a year and she watches 270 minutes per week so that's 52 * 270 = 14,040 minutes of tv per year. She watches 14,040 minutes of tv and 60 minutes are in an hour so she watches 14040 / 60 = 234 hours. The final answer: 234. |
cot | Andy gets a cavity for every 4 candy canes he eats. He gets 2 candy canes from his parents and 3 candy canes each from 4 teachers. Then he uses his allowance to buy 1/7 as many candy canes as he was given. How many cavities does he get from eating all his candy canes? Give me reasons, before answering the question | First find how many candy canes Andy gets from his teachers: 3 canes / teacher * 4 teachers = 12 canes. Then add the number of candy canes he gets from his parents: 12 canes + 2 canes = 14 canes. Then divide that number by 7 to find the number of canes he buys: 14 canes / 7 = 2 canes. Then add the number of candy canes he gets from each source to find the total number: 2 canes + 14 canes = 16 canes. Then divide the total number of candy canes by the number of candy canes it takes to get one cavity to find the number of cavities Andy gets: 16 canes / 4 canes / cavity = 4 cavities. So the final answer is 16. |
cot | Carmen is counting the cars that pass by her window. All the cars are either white, black, or red. She sees 50 trucks and 40 cars. Half the trucks are red, and another 20% are black. If she picks one car at random, what is the percentage chance it's a white truck, rounded to the nearest integer? Let's be accurate as possible. | First find the total number of vehicles Carmen counted: 50 trucks + 40 cars = 90 vehicles. Then find the number of trucks that were red: 50 trucks / 2 = 25 trucks. Then find the number of trucks that were black: 50 trucks * .2 = 10 trucks. Then subtract the red and black trucks from the total number of trucks to find the number of white trucks: 50 trucks - 25 trucks - 10 trucks = 15 trucks. Then divide the number of white trucks by the number of vehicles and multiply by 100% to find the percentage of vehicles that are white trucks: 15 trucks / 90 vehicles * 100% = 16.66...%, which rounds up to 17%. The answer: 17. |
cot | Question: A farmer owns a hog that recently gave birth to 6 piglets. If the farmer raises the piglets until they are fully grown, he can sell the fully grown pig for $300. Each piglet must grow for at least 12 months before it is large enough to be sold. It costs the farmer $10 per month to feed each animal until it is sold. If the farmer sells 3 pigs after 12 months, and the remaining 3 pigs after 16 months, how much profit did he earn in total (after deducting the cost of food)? Think carefully first, then make a decision: | The 3 pigs that are sold after 12 months will cost the farmer 12 * 10 * 3 = $360 in food costs. The 3 pigs that are sold after 16 months will cost the farmer 16 * 10 * 3 = $480 in food costs. Thus, the total food cost to raise the 6 piglets was 360 + 480 = $840. Next, selling the 6 fully grown pigs will earn the farmer 6 * 300 = $1800 in revenue. Therefore, the earn the farmer 1800 - 840 = $960 in profit from these sales. So the answer is 960. |
cot | Question: Carly is making burgers for a neighborhood BBQ. Each burger needs to be cooked for 4 minutes on each side. Carly can fit 5 burgers on the grill at once. If half her 30 guests want 2 burgers and the other half each want 1, how long will it take Carly to cook all the burgers? Think carefully first, then make a decision: | First find half the number of guests at Carly's party: 30 guests / 2 = 15 guests. Then multiply that number by 2 for the number of burgers half the guests want: 15 guests * 2 burgers / guest = 30 burgers. Then add the 15 burgers for the 15 guests who only want 1 to find the total number of burgers: 30 burgers + 15 burgers = 45 burgers. Then divide the total number of burgers by the number of burgers Carly can cook at once to find the number of batches she cooks: 45 burgers / 5 burgers / batch = 9 batches. Then multiply the number of sides per burger by the cooking time per side to find each burger's total cook time: 4 minutes / side * 2 sides = 8 minutes. Finally, multiply each batch's cook time by the number of batches to find the total cook time: 8 minutes / batch * 9 batches = 72 minutes. So the answer is 72. |
cot | Intramolecular base pairs can occur within single-stranded nucleic acids. This is particularly important in RNA molecules (e.g., transfer RNA), where Watson-Crick base pairs (guanine-cytosine and adenine-uracil) permit the formation of short double-stranded helices, and a wide variety of non-Watson-Crick interactions (e.g., G-U or A-A) allow RNAs to fold into a vast range of specific three-dimensional structures. In addition, base-pairing between transfer RNA (tRNA) and messenger RNA (mRNA) forms the basis for the molecular recognition events that result in the nucleotide sequence of mRNA becoming translated into the amino acid sequence of proteins via the genetic code. Answer this question: what are the base pair rules for rna? Let's give stream of consciousness first: | The relevant information is: This is particularly important in RNA molecules (e.g., transfer RNA), where Watson-Crick base pairs (guanine-cytosine and adenine-uracil) permit the formation of short double-stranded helices, and a wide variety of non-Watson-Crick interactions (e.g., G-U or A-A) allow RNAs to fold into a vast range of specific three-dimensional structures. So, the final answer is Watson - Crick base pairs ( guanine - cytosine and adenine - uracil ) permit the formation of short double - stranded helices , and a wide variety of non-Watson - Crick interactions ( e.g. , G-U or A-A ) allow RNAs to fold into a vast range of specific three - dimensional structures. |
cot | A swimming pool is being emptied through a drain at the bottom of the pool and filled by a hose at the top. The drain can empty the pool in 4 hours and the hose can fill the pool in 6 hours. The pool holds 120 liters of water. If the pool starts filled with water, how much water will be left after 3 hours? Give me reasons, before answering the question | It takes the drain 4 hours to empty the pool, so it drains at a rate of 120 liters / 4 hours = 30 liters / hour. After 3 hours, the drain will have removed 3 * 30 = 90 liters of water from the pool. It takes the hose 6 hours to fill the pool, so it fills at a rate of 120 liters / 6 hours = 20 liters / hour. After 3 hours, the hose will have added 3 * 20 = 60 liters of water to the pool. After 3 hours, there will be 120 liters + 60 liters – 90 liters = 90 liters of water left in the pool. So the final answer is 90. |
cot | Lizzy: Antonella has ten Canadian coins in her purse that are either loonies or toonies. A loonie equals $1 and a toonie equals $2. If she bought a $3 Frappuccino and still has $11, how many toonies did she initially have?. Me: Hmmm, let me think. I think this is the detailed solution: | If Antonella spent $3 and now has $11, that means initially she had $3 + $11 = $14. Let the number of loonies Antonella had be L and the number of toonies be T. Initially she had in her purse a total of 1L + 2T = $14. We also know that she had 10 coins in total or 10 = L + T. That means initially she had T = 10 - L toonies. Combining both equations we know that 14 = 1L + 2 * (10 - L). If we multiply through the parentheses, we get 14 = 1L + 20 - 2L. If we combine the variables on one side and the constants on another, we get - 6 = - 1L or L = 6. Knowing the value of L, we can solve for T = 10 - L = 10 - 6 = 4. Final answer: 4. |
cot | Question: Jason's dog has a tail that's half the length of its body, and a head that's 1/6 the length of its body. If the dog is 30 inches long overall, how long is its tail? Think carefully first, then make a decision: | If b is the length of the body, h is the length of the head, and t is the length of the tail, we know that b + h + t = 30, h = b / 6 and t = b / 2. We can substitute the second two equations into the first equation to get b + b / 6 + b / 2 = 30. Now multiply both sides of this equation by 6: 6b + b + 3b = 180. Now combine like terms: 10b = 180. Now divide both sides by 10: b = 180. The dog's body is 18 inches long. Now divide that length by 2 to find the length of its tail: 18 inches / 2 = 9 inches. So the answer is 9. |
cot | Question: A curry house sells curries that have varying levels of spice. Recently, a lot of the customers have been ordering very mild curries and the chefs have been having to throw away some wasted ingredients. To reduce cost and food wastage, the curry house starts monitoring how many ingredients are actually being used and changes their spending accordingly. The curry house needs 3 peppers for very spicy curries, 2 peppers for spicy curries, and only 1 pepper for mild curries. After adjusting their purchasing, the curry house now buys the exact amount of peppers they need. Previously, the curry house was buying enough peppers for 30 very spicy curries, 30 spicy curries, and 10 mild curries. They now buy enough peppers for 15 spicy curries and 90 mild curries. They no longer sell very spicy curries. How many fewer peppers does the curry house now buy? Think carefully first, then make a decision: | The curry house previously bought 3 peppers per very spicy curry * 30 very spicy curries = 90 peppers for very spicy curries. They also bought 2 peppers per spicy curry * 30 spicy curries = 60 peppers for spicy curries. They also bought 1 pepper per mild curry * 10 mild curries = 10 peppers for mild curries. So they were previously buying 90 + 60 + 10 = 160 peppers. They now buy 2 peppers per spicy curry * 15 spicy curries = 30 peppers for spicy curries. They also now buy 1 pepper per mild curry * 90 mild curries = 90 peppers for mild curries. So they now buy 30 + 90 = 120 peppers. This is a difference of 160 peppers bought originally - 120 peppers bought now = 40 peppers. So the answer is 40. |
cot | Lizzy: On his farm, Mr. Mathews has goats and sheep in the ratio of 5:7. He decides to sell half of the goats at $40 each and 2/3 of the sheep at $30 each. How much money does he make from the sale of the animals if the total number of sheep and goats on the farm is 360?. Me: Hmmm, let me think. I think this is the detailed solution: | The total ratio of goats and sheep on the farm is 5 + 7 = 12. The fraction that represents goats from the total ratio is 5 / 12, and since there are 360 goats and sheep on the farm, the number of goats is 5 / 12 * 360 = 150. The number of sheep on Mr. Mathews's farm is 360 - 150 = 210. Mr. Mathews sold 1 / 2 * 150 = 75 goats. If each goat went for $40, the total amount of money Mr. Mathews made from the sale of his goats is 75 * $40 = $3000. He also sold 2 / 3 * 210 = 140 of the total sheep on his farm. The income from the sale of the sheep is 140 * $30 = $4200. From the sale of goats and sheep, Mr. Mathews made $4200 + $3000 = $8600. Final answer: 7200. |
cot | Joseph had socks of many different colors. His dresser drawer was filled to overflowing with red, blue, black, and white socks. Uncertain of how many pairs he had of each color, he began to sort his socks. He discovered that he had three more pairs of blue socks than he had pairs of black socks. He had one less pair of red socks than he had pairs of white socks. He had twice as many blue socks as he had of red socks. And he counted a total of 6 red socks. What is the total number of Joseph's socks? Give me reasons, before answering the question | Starting with 6 red socks, twice the number of blue socks as red meant Joseph had 2 * 6 = 12 blue socks. With one less pair of red socks than white socks, this meant 2 fewer red socks than white, for a total of 6 - 2 = 4 white socks. Also, 12 blue socks = 6 pairs of blue socks. With three more pairs of blue socks than pairs of black socks, this means he had 6 - 3 = 3 pairs of black socks. And three pairs of black socks corresponds to 3 * 2 = 6 black socks. Thus, in total, he had 6 + 12 + 4 + 6 = 28 socks. So the final answer is 28. |
cot | In a car dealership, Fiona worked for 40 hours a week, John for 30 hours, and Jeremy for 25 hours. If the employees are paid $20 per hour, how much money does their boss spend paying all of them every month? Think carefully first, then make a decision: | Fiona earns 40 hours / week * $20 / hour = $800 / week. So she earns $800 / week * 4 weeks / month = $3200 / month. John earns 30 hours / week * $20 / hour = $600 / week. So he earns $600 / week * 4 weeks / month = $2400 / month. Jeremy earns 25 hours * $20 / hour = $500 / week. So he earns $500 / week * 4 weeks / month = $2000 / month. Overall their boss has to spend $3200 / month + $2400 / month + $2000 / month = $7600 / month. So, the answer is 7600. |
cot | Give the step-by-step reasoning process and then the final answer. Billy and Margaret are competing with each other to see who can swim 10 laps the fastest. Billy swims his first 5 laps in 2 minutes, swims the next 3 laps in 4 minutes, swims the next lap in 1 minute, then swims his final lap. Margaret finishes swimming all of her laps in 10 minutes. Billy wins the competition by finishing his laps 30 seconds before Margaret does. In seconds, how long did it take Billy to swim his final lap? | Margaret finished all of her laps in 10 minutes * 60 seconds = 600 seconds. Billy’s first 5 laps took 2 minutes * 60 seconds = 120 seconds. His next 3 laps took 4 minutes * 60 seconds = 240 seconds. His ninth lap took 1 minute * 60 seconds = 60 seconds. So his first 9 laps took 120 + 240 + 60 = 420 seconds. Billy finished swimming his laps before Margaret so all of his laps took a total of 600 – 30 = 570 seconds. This means that it took 570 seconds in total swimming time – 420 seconds in time spent swimming the first 9 laps = 150 seconds for Billy to swim his final lap. The final answer: 150. |
cot | Question: At the burger hut, you can buy a burger for $5, french fries for $3, and a soft drink for $3. If you order a special burger meal, you get all 3 of these food items for $9.50. A kid’s burger is $3, a kid’s french fries are $2, and a kid's juice box is $2. They also have a kids meal of all 3 kids' food items for $5. Mr. Parker buys 2 burger meals for his wife and himself. He also buys 2 burger meals and 2 kid's meals for his 4 children. How much money does Mr. Parker save by buying the 6 meals versus buying the individual food items? Think carefully first, then make a decision: | To buy regular food items individually, they cost $5 + $3 + $3 = $11. To buy kids food items individually, they cost $3 + $2 + $2 = $7. If you buy the special burger meal, you save $11 - $9.50 = $1.50. If you buy the kid's meal, you save $7 - $5 = $2. Mr. Parker buys 4 special burger meals, bringing his discount to 4 x $1.50 = $6. He buys 2 kid's meals, bringing his discount to 2 x $2 = $4. The total savings for Mr. Parker is $6 + $4 = $10. So the answer is 10. |
cot | Lizzy: Since Jason started investing, he has earned the same amount he invested twice over in 5 months. If Jason's investment currently is worth $90, how much has he been earning per month from his investment assuming he has been earning an equal amount of returns each month?. Me: Hmmm, let me think. I think this is the detailed solution: | Let's say Jason invested x amount of money. Since Jason started investing, he has earned the same amount he invested twice over in 5 months, meaning he has earned x + 2 * x = $90. This evaluates to 3x = $90. The total amount of money that Jason invested is x = $90 / 3. Jason invested x = $30. The total amount of money that Jason has earned from his investments is $90 - $30 = $60. If he earned an equal amount of money from the investment in five months, his monthly returns is 60 / 5 = $12. Final answer: 12. |
cot | Use stream of consciousness to answer the following. El Camino Real (Spanish for The Royal Road, also known as The King's Highway), sometimes associated with Calle Real (within the US state of California), usually refers to the 600-mile (965-kilometer) road connecting the 21 Spanish missions in California (formerly Alta California), along with a number of sub-missions, four presidios, and three pueblos, stretching at its southern end from the San Diego area Mission San Diego de Alcalá, all of the way up to the trail's northern terminus at Mission San Francisco Solano in Sonoma, just above San Francisco Bay. Where does the el camino real start and end? | To answer the question, consider the following: El Camino Real (Spanish for The Royal Road, also known as The King's Highway), sometimes associated with Calle Real (within the US state of California), usually refers to the 600-mile (965-kilometer) road connecting the 21 Spanish missions in California (formerly Alta California), along with a number of sub-missions, four presidios, and three pueblos, stretching at its southern end from the San Diego area Mission San Diego de Alcalá, all of the way up to the trail's northern terminus at Mission San Francisco Solano in Sonoma, just above San Francisco Bay. Final answer: stretching at its southern end from the San Diego area Mission San Diego de Alcalá , all of the way up to the trail 's northern terminus at Mission San Francisco Solano in Sonoma , just above San Francisco Bay. |
cot | My question is: Marcus is making calzones. It takes him 20 minutes to saute the onions and a quarter of that time to saute the garlic and peppers. It takes him 30 minutes to knead the dough, twice as long to let it rest, and 1/10th the combined kneading and resting time to assemble the calzones. How many minutes does Marcus spend on the calzones total? Your thoughts: | First find the amount of time it takes Marcus to saute the garlic and peppers: 20 minutes / 4 = 5 minutes. Then find the dough's resting time: 30 minutes * 2 = 60 minutes. Then add the kneading and resting time to find the total dough time: 60 minutes + 30 minutes = 90 minutes. Then multiply that amount by 1 / 10th to find the assembly time: 90 minutes / 10 = 9 minutes. Then add the saute time, knead time, rest time and assembly time to find the total time Marcus spends on the calzones: 9 minutes + 20 minutes + 5 minutes + 60 minutes + 30 minutes = 124 minutes. The final answer: 124. |
cot | James is trying to avoid eating too much sodium. He's making a recipe that calls for 2 teaspoons of salt and 8 oz of parmesan cheese. Salt has 50 mg of sodium per teaspoon and parmesan has 25 mg of sodium per oz. If he can't reduce the salt, how many fewer ounces of parmesan cheese does he need to use to reduce the total amount of sodium by 1/3rd? Let's be accurate as possible. | First find how much sodium the parmesan has in total by multiply the amount of sodium per ounce by the number of oz: 25 mg / oz * 8 oz = 200 mg. Then use the same process to find how much sodium is in the salt: 50 mg / tsp * 2 tsp = 100 mg. Then find the total sodium in the recipe by adding the sodium from the cheese and the salt: 100 mg + 200 mg = 300 mg. Then multiply the total amount of sodium by 1 / 3 to find how much less sodium James wants: 300 mg * 1 / 3 = 100 mg. Then divide this amount by the amount of sodium per ounce of cheese to find how many fewer ounces of cheese he needs: 100 mg / 25 mg / oz = 4 oz. The answer: 4. |
cot | Give the step-by-step reasoning process and then the final answer. A woman is trying to decide whether it will be quicker to take an airplane or drive herself to a job interview. If she drives herself, the trip will take her 3 hours and 15 minutes. If she takes an airplane, she will first need to drive 10 minutes to the airport, and then wait 20 minutes to board the plane. After that, she will be on the airplane for one-third of the time it would have taken her to drive herself before landing in the destination city. Finally, it will take her an additional 10 minutes to get off the airplane and arrive at her interview site after the plane lands. Given this information, how many minutes faster is it for her to take the airplane? | First, we must convert the driving time of 3 hours and 15 minutes to minutes. Since there are 60 minutes in an hour, driving takes a total of 3 * 60 + 15 = 195 minutes. Next, the woman will be on the airplane for one - third of 195 minutes, or 195 / 3 = 65 minutes. Therefore, in total, the airplane trip will take the woman 10 + 20 + 65 + 10 = 105 minutes. Thus, the airplane trip is 195 - 105 = 90 minutes faster than driving herself to the interview. The final answer: 90. |
cot | My question is: Jerry takes 2 antacids that weigh 2 grams each and are 5% zinc by weight. Then he takes three more smaller antacids that weigh 1 gram each and have 15% zinc. How many milligrams of zinc does he eat? Your thoughts: | First find the total weight of the big antacids: 2 grams / antacid * 2 antacids = 4 grams. Then convert that weight to milligrams: 4 grams * 1000 mg / gram = 4000 mg. Then multiply that number by 5% to find how much zinc is in the big antacids: 4000 mg * 5% = 200 mg. Then find the total weight of the smaller antacids in milligrams: 3 antacids * 1 gram / antacid * 1000 mg / gram = 3000 mg. Then multiply that number by the percent of zinc to find the amount of zinc in the small antacids: 3000 mg * 15% = 450 mg. Then add the zinc Jerry gets from each set of pills to find the total amount of zinc he eats: 450 mg + 200 mg = 650 mg. The final answer: 650. |
cot | Peter needs to buy birdseed to last a week. He knows that each parakeet eats 2 grams a day. His parrots eat 14 grams a day. His finches eat half of what a parakeet eats. If he has 3 parakeets, 2 parrots and 4 finches, how many grams of birdseed does he need to buy? Thoughts? Step-by-step reasoning: | His parakeets eat 6 grams a day, because three parakeets times two grams each equals 6 grams. His parrots will eat 28 grams a day because two parrots times 14 grams equals 28 grams. Each finch will eat 1 gram a day, because they eat half of what a parakeet does and 1 / 2 of 2 equals one. His finches will eat 4 grams a day because four finches times 1 gram equals 4 grams. His birds eat 38 grams a day because 6 plus 28 plus 4 equals 38. Each week has 7 days. Therefore, in a week he will need 266 grams because 7 times 38 equals 266. Thus, the answer is 266. |
cot | Miriam currently has 30 marbles, but she used to have more. Miriam gave her brother 60 marbles, gave her sister twice that amount and gave her friend Savanna three times the amount she currently has. How many marbles did Miriam start with? Think carefully first, then make a decision: | If Mariam remains with 30 marbles after giving her brother 60 marbles, she had 30 + 60 = 90 marbles. Mariam's sister receives twice as many marbles as her brother, a total of 2 * 60 = 120 marbles. The total number of marbles before giving any to her brother or sister is 120 + 90 = 210. Savannah is to receive three times as many marbles as Mariam has to remain with, a total of 3 * 30 = 90 marbles. Before giving out any marble, Mariam has 210 + 90 = 300 marbles. So, the answer is 300. |
cot | Susan is making jewelry with a repeating pattern that has 3 green beads, 5 purple beads, and twice as many red beads as green beads. If the pattern repeats three times per bracelet and 5 times per necklace, how many beads does she need to make 1 bracelets and 10 necklaces? Let's answer step by step: | First find the number of red beads per repeat: 3 green * 2 red / green = 6 red. Then add the number of beads of each color to find the total number of bead per repeat: 6 beads + 3 beads + 5 beads = 14 beads. Then multiply the number of beads per repeat by the number of repeats per bracelet to find the number of beads per bracelet: 14 beads / repeat * 3 repeats / bracelet = 42 beads / bracelet. Then multiply the number of beads per repeat by the number of repeats per necklace to find the number of beads per necklace: 14 beads / repeat * 5 repeats / necklace = 70 beads / necklace. Then multiply the number of beads per necklace by the number of necklaces to find the total number of beads used in the necklaces: 70 beads / necklace * 10 necklaces = 700 beads. Then add the number of beads used in a bracelet to the number of beads in the necklaces to find the total number of beads used: 700 beads + 42 beads = 742 beads. The answer: 742. |
cot | Will Al Pacino and Margaret Qualley score same amount of Bacon Number points? Chain of thought: | The Bacon Number refers to a game in which people find how close a person is to the actor Kevin Bacon based on similar costars. Margaret Qualley was in Novitiate with Julianne Nicholson who was in Black Mass with Kevin Bacon (Bacon Number of 2). Al Pacino was in The Devil's Advocate with Charlize Theron who was in Trapped with Kevin Bacon (Bacon Number of 2). The further away someone is from Kevin Bacon, the more points scored in Bacon Number. Major General William Rufus Shafter is believed to produce the highest Bacon Number score of 10. The answer is yes. |
cot | Mark is a lawyer who works at the county courthouse every day. It takes him 5 minutes to find parking and 3 minutes to walk into the courthouse. 2 days of the week it takes him 30 minutes to get through the metal detector and the other 3 days are less crowded so he gets through in 10 minutes. How long does he spend on all these activities in a week with 5 work days? Give me reasons, before answering the question | First find how long Mark spends on parking and walking each day: 5 minutes + 3 minutes = 8 minutes. Then multiply that number by his number of workdays to find the total walking and parking time: 8 minutes / day * 5 days / week = 40 minutes / week. Then multiply the number of long - wait days by the time of each long wait: 2 days / week * 30 minutes / day = 60 minutes / week. Then multiply the number of short - wait days by the time of each short wait: 3 days / week * 10 minutes / day = 30 minutes / week. Then add the length of time Mark spends on each activity to find the total time spent: 30 minutes / week + 60 minutes / week + 40 minutes / week = 130 minutes / week. So the final answer is 130. |
cot | Lizzy: A local college is offering German lessons and currently has 8 students enrolled. Through advertising, 8 more became interested but a fourth of these dropped out within a day. 2 more got frustrated and left. The class then rallied to show how simple the course actually is and increased enrollment by 5 times the amount of students already enrolled in the class, but 2 had to drop it because of scheduling conflicts. After one last rally, 6 more people enrolled. As the days passed, half of the class eventually dropped, and half of the remaining students graduated. How many are still enrolled?. Me: Hmmm, let me think. I think this is the detailed solution: | 8 + 8 = 16 students are enrolled in the German class. 8 * .25 = 2 dropped out from the new recruits. 2 more left, so the class had 16 - 2 - 2 = 12 students left. There were 12 * 5 + 12 = 72 total students in the class after the rally. Two people had to drop the class, so there were 72 - 2 = 70 left. 70 + 6 = 76 were enrolled after the final rally. 76 / 2 = 38 are left after half the class dropped. 38 / 2 = 19 are left after half the class graduated. Final answer: 19. |
cot | Emily went to the store and bought art supplies for $20 and 2 skirts that cost the same amount of money. She spent a total of $50. How much did Emily pay for each of the skirts? Thoughts? Step-by-step reasoning: | First, you need to set up the problem with the information given. The cost of the skirts and art supplies must equal $50. Since we know that the cost of the skirts is the same price and that she bought art supplies for $20, we can set up an equation: 2x + 20 = 50, with x being the cost of the skirts. To solve the equation, subtract 20 from both sides, to give you the new equation: 2x = 30. Solve for x by dividing both sides of the equation by 2, 2x / 2 = 30 / 2 gives you x = 15. Therefore, each skirt cost $15. Thus, the answer is 15. |
cot | Opal won $100.00 betting on a horse race. She put half of her winnings into savings and bet the other half of her winnings. This time, she made a 60% profit and again, put half of her earnings into savings. How much did she put into her savings? Thoughts? Step-by-step reasoning: | She won $100.00 and put half into savings so she put 100 / 2 = $50.00 into savings. She won $100.00 and put $50.00 into savings so that leaves 100 - 50 = $50.00 to bet. She bet $50.00 and made a 60% profit so her profit was 50 * .60 = $30.00. The total wins in the second bet are 30 + 50 = $80. She put half of her $80.00 earnings into savings so that's 80 / 2 = $40.00 into savings. She put $50.00 into saving from her 1st bet and $40.00 from her second so she has saved 50 + 40 = $90.00. Thus, the answer is 90. |
cot | Marcus takes a deck of standard playing cards and takes out all the face cards and the 8's. Mark picks a card at random and then replaces it 36 times. How many times should he expect to pick a card that's both red and has a number divisible by 3? Let's answer step by step: | Without the face cards and the 8's, there are 9 cards of each suit. Half these cards are red, and 3 / 9 have numbers divisible by 3, so the odds of drawing a card divisible by 3 are 1 / 3. Multiply the odds of drawing a red card by the odds of drawing a card divisible by 3 to find the odds of both things happening: 1 / 3 * 1 / 2 = 1 / 6. Finally, multiplying the probability of drawing a red / 3 - divisible card by the number of cards Mark draws to find how many he should expect to meet his criteria: 1 / 6 * 36 cards = 6 cards. The answer: 6. |
cot | A baker bakes 5 loaves of bread an hour in one oven. He has 4 ovens. From Monday to Friday, he bakes for 5 hours, but on Saturday and Sunday, he only bakes for 2 hours. How many loaves of bread does the baker bake in 3 weeks? Let's be accurate as possible. | In an hour, the baker bakes 5 x 4 = 20 loaves of bread. From Monday to Friday, he bakes 5 x 20 = 100 loaves of bread per day. From Monday to Friday, he bakes a total of 100 x 5 = 500 loaves of bread. On Saturday and Sunday, he bakes 2 x 20 = 40 loaves of bread per day. On Saturday and Sunday, he bakes a total of 40 x 2 = 80 loaves of bread. In a week, he bakes 500 + 80 = 580 loaves of bread. In 3 weeks, he bakes 580 x 3 = 1740 loaves of bread. The answer: 1740. |
cot | An old pirate wants to leave his treasure on an island. He has 3500 gold coins. He wants to spread this equally across 5 chests. Additionally, he will put a total of 500 silver coins and twice as many bronze coins as silver, all distributed equally across the chests. How many coins in total will be in each chest? Thoughts? Step-by-step reasoning: | There will be 3500 gold coins / 5 chest = 700 gold coins in every chest. So, there will be 500 silver coins / 5 chests = 100 silver coins in each chest. Then, the number of bronze coins is double the number of silver coins, so there are 2 * 500 = 1000 bronze coins. So there will be 1000 bronze coins / 5 chests = 200 bronze coins in each chest. Finally, the total number of coins in every chest will be 700 gold coins + 100 silver coins + 200 bronze coins = 1000 coins. Thus, the answer is 1000. |
cot | Q: Context: The Brahmaputra (/ ⁇ br ⁇ m ⁇ pu ⁇ tr ⁇ / is one of the major rivers of Asia, a trans-boundary river which flows through China, India and Bangladesh. As such, it is known by various names in the region: Assamese: ⁇ ⁇ (' ⁇ ' nôd, masculine form of' ⁇ ' nôdi "river") Brôhmôputrô (b ⁇ m ⁇ put ⁇ ); Sanskrit: ⁇ , IAST: Brahmaputra; Tibetan: ⁇ ⁇ ⁇ ⁇ ⁇ ⁇ ⁇ ⁇ , Wylie: yar klung gtsang po Yarlung Tsangpo; simplified Chinese: ⁇ ⁇ ⁇ ⁇ ⁇ ⁇ ⁇ ; traditional Chinese: ⁇ ⁇ ⁇ ⁇ ⁇ ⁇ ⁇ ; pinyin: Bùl ⁇ m ⁇ p ⁇ tèl ⁇ Hé. It is also called Tsangpo-Brahmaputra (when referring to the whole river including the stretch within Tibet). The Manas River, which runs through Bhutan, joins it at Jogighopa, in India. It is the ninth largest river in the world by discharge, and the 15th longest. Question: by what name is the brahmaputra known in tibet and bangladesh? Let's give stream of consciousness first: | To answer this question, we should know that: As such, it is known by various names in the region: Assamese: ⁇ ⁇ (' ⁇ ' nôd, masculine form of' ⁇ ' nôdi "river" ) Brôhmôputrô (b ⁇ m ⁇ put ⁇ ); Sanskrit: ⁇ , IAST: Brahmaputra; Tibetan: ⁇ ⁇ ⁇ ⁇ ⁇ ⁇ ⁇ ⁇ , Wylie: yar klung gtsang po Yarlung Tsangpo; simplified Chinese: ⁇ ⁇ ⁇ ⁇ ⁇ ⁇ ⁇ ; traditional Chinese: ⁇ ⁇ ⁇ ⁇ ⁇ ⁇ ⁇ ; pinyin: Bùl ⁇ m ⁇ p ⁇ tèl ⁇ Hé. Therefore, the final answer is ⁇ ⁇ ⁇ ⁇ ⁇ ⁇ ⁇ ⁇ , Wylie : yar klung gtsang po Yarlung Tsangpo. |
cot | Mason has 3 cartons of 200 blueberries. He makes as many muffins as he can with 10 blueberries per muffin. Then he makes 60 cinnamon muffins. What percentage of all the muffins he made have blueberries? Thoughts? Step-by-step reasoning: | First find the total number of blueberries Mason has: 200 blueberries / carton * 3 cartons = 600 blueberries. Then divide the total number of blueberries by the number of blueberries per muffin: 600 blueberries / 10 blueberries / muffin = 60 muffins. Then add that number of muffins to the number of cinnamon muffins to find the total number of muffins: 60 muffins + 60 muffins = 120 muffins. Then divide the number of blueberry muffins by the total number of muffins and multiply by 100% to express the answer as a percentage: 60 muffins / 120 muffins * 100% = 50%. Thus, the answer is 50. |
cot | Janet is considering two options to retile her bathroom. The turquoise tiles cost $13/tile and the purple tiles cost $11/tile. If Janet needs to tile two walls that measure 5 feet by 8 feet and 7 feet by 8 feet, and each square foot of wall takes 4 tiles, how much will Janet save by buying the purple tiles instead of the turquoise ones? Let's be accurate as possible. | First find the area of the first wall: 5 feet * 8 feet = 40 square feet. Then find the area of the second wall: 7 feet * 8 feet = 56 square feet. Then add the areas of the two walls to find the total area: 40 square feet + 56 square feet = 96 square feet. Then divide the number of square feet by the number of tiles per square foot to find the total number of tiles needed: 96 square feet * 4 tiles / square foot = 384 tiles. Then find the difference in cost per tile: $13 / tile - $11 / tile = $2 / tile. Then multiply the number of tiles by the cost difference per tile to find the total cost difference: $2 / tile * 384 tiles = $768. The answer: 768. |
cot | My question is: Mary just held tryouts for the high school band. 80% of the 20 flutes got in, half the 30 clarinets got in, 1/3 of the 60 trumpets got in, and 1/10th of the 20 pianists got in. How many people are in the band total? Your thoughts: | First find the total number of flutes who were accepted: 20 flutes * .8 = 16 flutes. Then find the total number of clarinets who were accepted: 30 clarinets * .5 = 15 clarinets. Then find the total number of trumpets who were accepted: 60 trumpets * 1 / 3 = 20 trumpets. Then find the total number of pianists who were accepted: 20 pianists * 1 / 10 = 2 pianists. Then add the number of each kind of instrument to find the total number of people in the band: 16 flutes + 15 clarinets + 20 trumpets + 2 pianists = 53 people. The final answer: 53. |
cot | Haley is getting ready to watch a comet fly over her house. She spends two hours shopping for a telescope, half an hour getting everything set up in the backyard, three times the setup time making snacks, and 20 minutes watching the comet. What percentage of the total time she spent on all those activities was spent watching the comet, rounded to the nearest percent? Let's think first. Chain of thought: | First convert Haley's shopping time to minutes: 2 hours * 60 minutes / hour = 120 minutes. Then convert Haley's setup time to minutes: .5 hours * 60 minutes / hour = 30 minutes. Then find the total time she spends making a snack: 3 * 30 minutes = 90 minutes. Then add the time she spends on each activity to find the total time: 120 minutes + 30 minutes + 90 minutes = 240 minutes. Then divide the time she spends watching the comet by the total time and multiply by 100% to express the answer as a percentage: 20 minutes / 240 minutes = 8.333...%, which rounds down to 8%. Therefore, the answer is 8. |
cot | All people named Barry are nice, while only half of the people named Kevin are nice. Three-fourths of people named Julie are nice, while 10% of people named Joe are nice. If a crowd contains 24 people named Barry, 20 people named Kevin, 80 people named Julie, and 50 people named Joe, how many nice people are in the crowd? Thoughts? Step-by-step reasoning: | If all people named Barry are nice, and the crowd contains 24 people named Barry, then 1 * 24 = 24 of these people are nice. If only half of people named Kevin are nice, and the crowd contains 20 people named Kevin, then 0.5 * 20 = 10 of these people are nice. If three - fourths of people named Julie are nice, and the crowd contains 80 people named Julie, then (3 / 4) * 80 = 60 of these people are nice. If 10% of people named Joe are nice, and the crowd contains 50 people named Joe, then 0.1 * 50 = 5 of these people are nice. In total, the crowd contains 24 + 10 + 60 + 5 = 99 people who are nice. Thus, the answer is 99. |
cot | My question is: Jonas is trying to expand his wardrobe. He has 20 pairs of socks, 5 pairs of shoes, 10 pairs of pants and 10 t-shirts. How many pairs of socks does he need to buy to double the number of individual items in his wardrobe? Your thoughts: | First, we must recognize that all pairs of shoes and socks are actually two items each, whereas the pants and the t - shirts are individual items. Therefore there are 20 * 2 = 40 individual socks in 20 pairs of socks. Similarly, there are 5 * 2 = 10 individual shoes in 5 pairs of shoes. Therefore, Jonas has 40 + 10 + 10 + 10 = 70 individual items in his collection. To double this number, we perform 70 * 2 = 140. This means we need 140 - 70 = 70 new items to double the size. Since there are 2 individual socks in each pair, we take 70 / 2 = 35 new pairs of socks. The final answer: 35. |
cot | A blacksmith has 400kg of iron to make horseshoes for neighbouring farms and stables. There are 2 farms nearby, each of which has 2 horses. There are 2 stables nearby which all have 5 horses each. While the blacksmith is crafting, a riding school reaches out and asks for as many horseshoes as possible for their own horses. The blacksmith promises to give them however many horseshoes he has left when he has finished his orders for the farms and stables. If each horseshoe needs 2kg of iron, how many horses will get new horseshoes at the riding school? Let's answer step by step: | The blacksmith can create a total of 400kg iron / 2kg iron per horseshoe = 200 horseshoes. The farms need enough horseshoes for 2 farms * 2 horses each = 4 horses. The stables need enough horseshoes for 5 stables * 2 horses each = 10 horses. So in total, the farms and stables have 4 + 10 = 14 horses that need horseshoes. This is a total of 14 horses * 4 horseshoes per horse = 56 horseshoes. This means the blacksmith has 200 total horseshoes – 56 horseshoes for the stables and farms = 144 horseshoes left for the riding school. The riding school therefore will have enough horseshoes for 144 horseshoes / 4 horseshoes per horse = 36 horses. The answer: 36. |
cot | Baseball season opened up with the Chicago Cubs at home at Wrigley Field. They scored 2 home runs in the third inning, 1 home run in the fifth inning and 2 more home runs in the eighth inning. Their opponents, the Cardinals, scored 1 home run in the second inning and 1 home run in the fifth inning. How many more home runs did the Chicago Cubs score than the Cardinals in the game? Let's think first. Chain of thought: | The Chicago Cubs scored 2 home runs in the third inning, 1 home run in the fifth inning, and 2 home runs in the eighth for a combined total of 2 + 1 + 2 = 5 home runs for the game. The Cardinals scored 1 home run in the second inning and 1 home run in the fifth inning for a combined total of 1 + 1 = 2 home runs for the game. If the Chicago Cubs scored a total of 5 home runs in the game and the Cardinals scored a total of 2 home runs in the games then 5 - 2 = 3 more home runs were scored by the Chicago Cubs than the Cardinals in the game. Therefore, the answer is 3. |
cot | My question is: In the Oprah Winfrey High School marching band, each trumpet and clarinet player carries 5 pounds of weight, each trombone player carries 10 pounds of weight, each tuba player carries 20 pounds of weight, and each drum player carries 15 pounds of weight. If there are 6 trumpets, 9 clarinets, 8 trombones, 3 tubas, and 2 drummers, how much weight does the total marching band carry? Your thoughts: | First find the total number of clarinet and trumpet players: 6 players + 9 players = 15 players. Then find the total weight of the trumpets and clarinets: 15 players * 5 pounds / player = 75 pounds. Then find the total weight of the trombones: 8 players * 10 pounds / player = 80 pounds. Then find the total weight of the tubas: 3 players * 20 pounds / player = 60 pounds. Then find the total weight of the drummers: 2 drummers * 15 pounds / player = 30 pounds. Then add the weight of each type of instrument to find the total weight: 75 pounds + 80 pounds + 60 pounds + 30 pounds = 245 pounds. The final answer: 245. |
cot | Jason spent 1/4 of his money and an additional $10 on some books. He then spent 2/5 of the remaining money and an additional $8 on some DVDs. If he was left with $130, how much money did he have at first? Think carefully first, then make a decision: | Let X be the money Jason had at first. Jason spent 1 / 4 * X + 10 on books. Jason spent 2 / 5 * [X - (1 / 4 * X + 10)] + 8 on some DVDs. Jason has X - (1 / 4 * X + 10) - ⁇ 2 / 5 * [X - (1 / 4 * X + 10)] + 8 ⁇ = $130 left. X - 1 / 4 * X - 10 - 2 / 5 * X + 1 / 10 * X + 4 - 8 = $130. 9 / 20 * X - 14 = $130. X = $320. So, the answer is 320. |
cot | My question is: Bill has played 200 games of poker and won 63% of them. If he plays 100 more games and loses 43 of them, what is his new win percentage? Your thoughts: | First find the total number of games Bill has won: 200 games * 63% = 126 games. Then find how many of the next 100 games he wins by subtracting the number he loses from the total: 100 games - 43 games = 57 games. Then add his new wins to his old wins to find his total wins: 57 games + 126 games = 183 games. Then add the old total number of games to the new total number of games to find the overall total number of games: 200 games + 100 games = 300 games. Then divide the total number of games Bill won by the overall total number of games and multiply by 100% to find the percentage of games he won: 183 games / 300 games * 100% = 61%. The final answer: 61. |
cot | Lizzy: Bill is trying to decide whether to make blueberry muffins or raspberry muffins. Blueberries cost $5.00 per 6 ounce carton and raspberries cost $3.00 per 8 ounce carton. If Bill is going to make 4 batches of muffins, and each batch takes 12 ounces of fruit, how much money would he save by using raspberries instead of blueberries?. Me: Hmmm, let me think. I think this is the detailed solution: | First find how many ounces of fruit Bill will need total: 12 ounces / batch * 4 batches = 48 ounces. Then find how many cartons of blueberries Bill would need: 48 ounces / 6 ounces / carton = 8 cartons. Then multiply that number by the cost per carton to find the total cost of the blueberries: 8 cartons * $5 / carton = $40. Then find how many cartons of raspberries Bill would need: 48 ounces / 8 ounces / carton = 6 cartons. Then multiply that number by the cost per carton to find the total cost of the raspberries: 6 cartons * $3 / carton = $18. Then subtract the cost of the raspberries from the cost of the blueberries to find the difference: $40 - $18 = $22. Final answer: 22. |
cot | Give the step-by-step reasoning process and then the final answer. A competition has racers competing on bicycles and tricycles to win a grand prize of $4000. If there are 40 people in the race, and 3/5 of them are riding on bicycles, how many wheels do the bicycles and tricycles in the race have combined? | If 3 / 5 of the people in the race are riding bicycles, their number is 3 / 5 * 40 people = 24 people. Since a bicycle has 2 wheels, and 24 people were riding on a bicycle each, the total number of bicycle wheels in the race is 2 wheels / bike * 24 bikes = 48 wheels. The number of racers on tricycles is 40 people - 24 people = 16 people. Since a tricycle has 3 wheels, and 16 people were riding on a tricycle each, the total number of tricycle wheels in the race is 3 wheels / trike * 16 trikes = 48 wheels. The combined total for bicycle and tricycle wheels in the race is 48 wheels + 48 wheels = 96 wheels. The final answer: 96. |
cot | Tricia buys large bottles of iced coffee that have 6 servings per container. She drinks half a container a day. The coffee is currently on sale for $3.00 a bottle. How much will it cost her to buy enough bottles to last for 2 weeks? Let's answer step by step: | She drinks half a container of a 6 serving bottle of iced coffee a day so she drinks 6 / 2 = 3 servings a day. There are 7 days in a week and she needs enough bottles to last for 2 weeks so that's 7 * 2 = 14 days. She drinks 3 servings a day for 14 days so that's 3 * 14 = 42 servings. Each bottle holds 6 servings and she drinks 42 servings in a week so she needs 42 / 6 = 7 bottles. The iced coffee is on sale for $3.00 a bottle and she needs 7 bottles for a total of 3 * 7 = $21.00. The answer: 21. |
cot | Give some stream of consciousness and then the answer. The Cape of Good Hope (Afrikaans: Kaap die Goeie Hoop ( ⁇ k ⁇ p di ⁇ uj ⁇ ⁇ p), Dutch: Kaap de Goede Hoop ( ⁇ ka ⁇ b d ⁇ ⁇ ud ⁇ ⁇ o ⁇ p) (listen), Portuguese: Cabo da Boa Esperança ( ⁇ ka ⁇ u ⁇ ⁇ o ⁇ ⁇ p ⁇ s ⁇ ) ) is a rocky headland on the Atlantic coast of the Cape Peninsula in South Africa. Answer this question: where is cape of good hope in the world map? | To answer the above question, the relevant sentence is: The Cape of Good Hope (Afrikaans: Kaap die Goeie Hoop ( ⁇ k ⁇ p di ⁇ uj ⁇ ⁇ p), Dutch: Kaap de Goede Hoop ( ⁇ ka ⁇ b d ⁇ ⁇ ud ⁇ ⁇ o ⁇ p) (listen), Portuguese: Cabo da Boa Esperança ( ⁇ ka ⁇ u ⁇ ⁇ o ⁇ ⁇ p ⁇ s ⁇ ) ) is a rocky headland on the Atlantic coast of the Cape Peninsula in South Africa. Therefore, the answer is on the Atlantic coast of the Cape Peninsula in South Africa. |
cot | Lizzy: Tony drives a car that gets 25 miles to the gallon. He drives 50 miles round trip to work 5 days a week. His tank holds 10 gallons. He begins the week with a full tank and when he runs out he fills up at the local gas station for $2 a gallon. How much money does Tony spend on gas in 4 weeks?. Me: Hmmm, let me think. I think this is the detailed solution: | First, we need to determine how many miles Tony drives in 4 weeks. We do this by performing 50 * 5 = 250 miles per week. Next, we multiply the weekly total by 4 by performing 4 * 250 = 1000 miles in 4 weeks. Now, we need to find out how many times Tony needs to fill up his gas tank. His gas tank holds enough gas to last 25 * 10 = 250 miles. This means in 4 weeks, he needs to fill up his tank 1000 / 250 = 4 times. Since Tony's gas tank holds 10 gallons, this means he needs to pay for 4 * 10 - 40 gallons of gas in a month. Since gas costs $2 a gallon, this means Tony spends 40 * 2 = $80 on gas every month,. Final answer: 80. |
cot | My question is: Last night Kannon had 3 apples, a banana, and 4 oranges for dinner. Today she is planning to have 4 more apples than last night, 10 times as many bananas as she ate last night, and twice as many oranges as apples she'll have today. How many fruits would she have eaten so far in the two meals? Your thoughts: | The total number of fruits that Kannon ate last is 3 apples + 1 banana + 4 oranges = 8. Since last night Kannon had 3 apples, today she'll eat 3 + 4 = 7 apples. She is also planning to eat 10 times as many bananas as she ate last night, a total of 1 * 10 = 10 bananas. Kannon will also eat twice as many oranges as apples she'll have today, which means she'll eat 7 * 2 = 14 oranges. Tonight Kannon will eat 14 oranges + 10 bananas + 7 apples = 31 fruits. In total, after tonight, Kannon would have eaten 31 + 8 = 39 fruits. The final answer: 39. |
cot | Brian is taping up some boxes. Each box needs three pieces of tape, one as long as the long side and two as long as the short side. If Brian tapes up 5 boxes that measure 15 inches by 30 inches and 2 boxes that measure 40 inches square, how much tape does he need? Think carefully first, then make a decision: | First find the amount of tape each 15 in x 30 in box needs on the short sides: 2 sides * 15 inches / side = 30 inches. Then add that to the amount of tape each 15 in x 30 in box needs on the long side to find the total amount needed per box: 30 inches + 30 inches = 60 inches. Then multiply that amount by 5 boxes to find the total amount needed: 60 inches / box * 5 boxes = 300 inches. Then find the amount of tape each 40 in x 40 in box needs for its three equal length sides: 3 sides * 40 inches / side = 120 inches. Then multiply that amount by 2 boxes to find the total amount needed: 120 inches / box * 2 boxes = 240 inches. Then add the total amount needed for each box size to find the grand total: 240 inches + 300 inches = 540 inches. So, the answer is 540. |
cot | To win a brand new Bible at Tom Sawyer's Sunday school, a pupil has to win 10 yellow tickets; each yellow ticket is obtained by trading in 10 red tickets; each red ticket is obtained by trading in 10 blue tickets; and blue tickets are earned by memorizing two Bible verses. But rather than go to all that trouble, Tom Sawyer has traded various toys and treasures of his with his friends until he has gathered 8 yellow, 3 red, and 7 blue tickets. How many more blue tickets would he need to earn to win a new Bible? Give me reasons, before answering the question | A red ticket is equal to 10 blue tickets, and a yellow is equal to ten red tickets, so a yellow ticket is also equal to 10 * 10 = 100 blue tickets. It takes 10 yellow tickets to win a Bible, or 10 * 100 = 1000 blue tickets. Tom has 8 yellow tickets, which are worth 8 * 100 = 800 blue tickets. He also has 3 red tickets, which are worth 3 * 10 = 30 blue tickets. Added with his 7 blue tickets, he has 800 + 30 + 7 = 837 blue tickets' worth of tickets. So he still needs to earn 1000 - 837 = 163 blue tickets. So the final answer is 163. |
cot | Question: Sam bought a dozen boxes, each with 30 highlighter pens inside, for $10 each box. He rearranged five of these boxes into packages of six highlighters each and sold them for $3 per package. He sold the rest of the highlighters separately at the rate of three pens for $2. How much profit did he make in total, in dollars? Think carefully first, then make a decision: | Sam bought 12 boxes x $10 = $120 worth of highlighters. He bought 12 * 30 = 360 highlighters in total. Sam then took 5 boxes ⁇ 6 highlighters / box = 30 highlighters. He sold these boxes for 5 * $3 = $15. After selling these 5 boxes there were 360 - 30 = 330 highlighters remaining. These form 330 / 3 = 110 groups of three pens. He sold each of these groups for $2 each, so made 110 * 2 = $220 from them. In total, then, he earned $220 + $15 = $235. Since his original cost was $120, he earned $235 - $120 = $115 in profit. So the answer is 115. |
cot | The total average age of three friends is 40. Jared is ten years older than Hakimi, and Molly's age is 30. How old is Hakimi? Let's think first. Chain of thought: | The total age for the three friends is 40 * 3 = 120. If Molly's age is 30, then Jared and Hakimi have a total age of 120 - 30 = 90. Let's say the age of Hakimi is x. Since Jared is 10 years older than Hakimi, Jared is x + 10 years old. Jared and Hakimi's total age is x + (x + 10) = 90. This translates to 2x = 90 - 10. 2x = 80. Hakimi's age is x = 80 / 2. This gives us x = 40, which is Hamkimi's age. Therefore, the answer is 40. |
cot | Question: James has a small tree outside his window with 30 branches with 90 twigs per branch. 30% of the twigs sprout 4 leaves and the rest sprout 5 leaves. How many leaves are on the tree total? Think carefully first, then make a decision: | First find the total number of twigs on the tree: 30 branches * 90 twigs / branch = 2700 twigs. Then multiply that number by 30% to find how many twigs have 4 leaves: 2700 twigs * 30% = 810 twigs. Then subtract that number from the total number of twigs to find how many have 5 leaves: 2700 twigs - 810 twigs = 1890 twigs. Then multiply that number by 5 to find the number of leaves on the 5 - leaved twigs: 1890 twigs * 5 leaves / twig = 9450 leaves. Then multiply the number of 4 - leaved twigs by 4 to find the total number of leaves they have: 810 twigs * 4 leaves / twig = 3240 leaves. Then add the two groups of leaves to find the total number of leaves: 9450 leaves + 3240 leaves = 12690 leaves. So the answer is 12690. |
cot | Liz's basketball team is down by 20 points in the final quarter of their game. Liz goes on a shooting spree, sinking 5 free throw shots, 3 three-pointers, and 4 other jump shots. The other team only scores 10 points that quarter, and none of Liz's teammates manage to score any points. How much does Liz's team lose by at the end of the game? Thoughts? Step-by-step reasoning: | Each free throw counts as 1 point, so 5 successful free throws means she scores 5 * 1 = 5 points. Each 3 pointer counts as 3 points, so this means Liz scores 3 * 3 = 9 points from 3 pointers. Each jump shot counts as 2 points, meaning Liz scores 4 * 2 = 8 points of jump shots. Liz's opponents score 10 points during the quarter, meaning their lead is 30 points in total before accounting for Liz's scoring. Liz scores a total of 5 + 9 + 8 = 22 points in the quarter. This amount is subtracted from the lead of Liz's opponents, meaning they win by 30 - 22 = 8 points. Thus, the answer is 8. |
cot | Jenna wants to buy a concert ticket that costs $181, plus five drink tickets for $7 each. If Jenna earns $18 an hour and works 30 hours a week, what percentage of her monthly salary will she spend on this outing? Let's be accurate as possible. | First find the total cost of the drink tickets: 5 tickets * $7 / ticket = $35. Then add that cost to the cost of the ticket to find the total cost: $35 + $181 = $216. Then multiply Jenna's hourly rate by the number of hours she works each week to find her weekly earnings: $18 / hour * 30 hours / week = $540 / week. Then multiply her weekly earnings by the number of weeks she works each month: $540 / week * 4 weeks / month = $2160 / month. Then divide the cost of the concert by Jenna's monthly earnings and multiply by 100% to express the answer as a percentage: $216 / $2160 * 100% = 10%. The answer: 10. |
cot | Hasan is packing up his apartment because he’s moving across the country for a new job. He needs to ship several boxes to his new home. The movers have asked that Hasan avoid putting more than a certain weight in pounds in any cardboard box. The moving company has helpfully provided Hasan with a digital scale that will alert him if a package is too heavy. Hasan is in the kitchen, and he fills a cardboard box with 38 dinner plates. When he checks the box, the scale reports his box is too heavy. Hasan knows each of his plates weighs 10 ounces. He removes a single plate from the box and checks the movers’ scale again. The scale reports his box is still too heavy. Hasan repeats the process again and again. When he has removed enough plates, the movers’ scale shows the box is now an acceptable weight for shipping. Hasan deduces that each shipping box can hold 20 pounds before the scale says the box is too heavy. How many plates did Hasan need to remove from the shipping box? Think carefully first, then make a decision: | Let x be the number of plates removed from the box. Hasan figured out the movers' weight limit was 20 pounds. Since a pound is equal to 16 ounces, each box can hold 20 * 16, or 320 ounces. Each plate weighs 10 ounces, so the weight of the plates in the box after Hasan removes enough plates to satisfy the movers' weight limit is (38 - x) * 10 ounces. Since these two values are equal, we can write the equation (38 - x) * 10 = 320. Dividing both sides by 10 leaves 38 - x = 32. Adding x to both sides gives 38 – x + x = 32 + x, or, 38 = 32 + x. Subtracting 32 from both sides gives the value of x, which is the number of plates removed from the box, 38 - 32 = 32 + x – 32, or, 6 = x. So, the answer is 6. |
cot | Question: Billy is breeding mice for an experiment. He starts with 8 mice, who each have 6 pups. When the pups grow up, all the mice have another 6 pups. Then each adult mouse eats 2 of their pups due to the stress of overcrowding. How many mice are left? Think carefully first, then make a decision: | First find the number of pups in the first generation: 8 mice * 6 pups / mouse = 48 pups. Then add the number of adult mice to find the total number of mice: 48 pups + 8 mice = 56 mice. Then find the number of pups per mouse that survive from the second generation: 6 pups / mouse - 2 pups / mouse = 4 pups / mouse. Then multiply that number by the number of adult mice to find the number of pups in the second generation: 56 mice * 4 pups / mouse = 224 mice. Then add the number of adult mice to the number of second - generation pups to find the total number of mice: 224 mice + 56 mice = 280 mice. So the answer is 280. |
cot | Lizzy: Jerry is making cherry syrup. He needs 500 cherries per quart of syrup. It takes him 2 hours to pick 300 cherries and 3 hours to make the syrup. How long will it take him to make 9 quarts of syrup?. Me: Hmmm, let me think. I think this is the detailed solution: | First find how many cherries Jerry can pick in one hour: 300 cherries / 2 hours = 150 cherries / hour. Then multiply the number of quarts of syrup by the number of cherries per quart to find the total number of quarts Jerry needs: 500 cherries / quart * 9 quarts = 4500 cherries. Then divide the total number of cherries by the number of cherries he picks per hour to find the number of hours the cherry - picking takes: 4500 cherries / 150 cherries / hour = 30 hours. Then add the time it takes him to make the syrup to find the total time: 30 hours + 3 hours = 33 hours. Final answer: 33. |
cot | In physical cosmology, Big Bang nucleosynthesis (abbreviated BBN, also known as primordial nucleosynthesis, arch ( a) eonucleosynthesis, archonucleosynthesis, protonucleosynthesis and pal (a) eonucleosynthesis ) refers to the production of nuclei other than those of the lightest isotope of hydrogen (hydrogen-1, H, having a single proton as a nucleus) during the early phases of the Universe. Primordial nucleosynthesis is believed by most cosmologists to have taken place in the interval from roughly 10 seconds to 20 minutes after the Big Bang, and is calculated to be responsible for the formation of most of the universe's helium as the isotope helium-4 (He), along with small amounts of the hydrogen isotope deuterium (H or D), the helium isotope helium-3 (He), and a very small amount of the lithium isotope lithium-7 (Li). In addition to these stable nuclei, two unstable or radioactive isotopes were also produced: the heavy hydrogen isotope tritium (H or T); and the beryllium isotope beryllium-7 (Be); but these unstable isotopes later decayed into He and Li, as above. Based on this passage, where did helium come from the early universe? Let's give stream of consciousness first: | The relevant information to answer the above question is: Primordial nucleosynthesis is believed by most cosmologists to have taken place in the interval from roughly 10 seconds to 20 minutes after the Big Bang, and is calculated to be responsible for the formation of most of the universe's helium as the isotope helium-4 (He), along with small amounts of the hydrogen isotope deuterium (H or D), the helium isotope helium-3 (He), and a very small amount of the lithium isotope lithium-7 (Li). So, the final answer is in the interval from roughly 10 seconds to 20 minutes after the Big Bang. |
cot | There are three machines in a factory. Machine A can put caps on 12 bottles in 1 minute. Machine B can put caps to 2 fewer bottles than Machine A. Machine C can put caps to 5 more bottles than Machine B. How many bottles can those three machines put caps on in 10 minutes? Let's think first. Chain of thought: | Machine A can put caps on 12 x 10 = 120 bottles in 10 minutes. Machine B can put caps on 12 - 2 = 10 bottles in 1 minute. So in 10 minutes, machine B can put caps on 10 x 10 = 100 bottles. Machine c can put caps on 10 + 5 = 15 bottles in 1 minute. So in 10 minutes, machine C can put caps on 15 x 10 = 150 bottles. Therefore, the three machines can put caps on 120 + 100 + 150 = 370 bottles in 10 minutes. Therefore, the answer is 370. |
cot | The area of square A is 25. The area of square B is 81. What's the length difference between the sides of square A and B? Give me reasons, before answering the question | The area of a square is calculated as length * width. Because all a square has all sides equal then we can say that given a side S, the area is S * S. For square A of sides A, the area is A * A = 25 or A ⁇ 2 = 25. Solving for A we know that A = 5. For square B of sides B, the area is B * B = 81 or B ⁇ 2 = 81. Solving for B we know that B = 9. The side difference between A and B is 9 - 5 = 4. So the final answer is 4. |
cot | Mark was caught speeding and the judge wants to make an example out of him. The base fine for speeding is $50 but additional penalties apply in this case. The fine is increased by $2 for every mile per hour Mark was going over the speed limit. He was going 75 miles per hour in a 30 mile per hour zone. The fine is also doubled because he was in a school zone. Finally, the judge makes Mark pay $300 in court costs and he also has to pay his lawyer $80/hour for three hours of work. How much does Mark owe for this speeding ticket? Thoughts? Step-by-step reasoning: | First figure out how many miles over the speed limit Mark was going: 75 mph - 30 mph = 45 mph. Now figure out how much the per - mile fine is: $2 / mph * 45 mph = $90. Now add that amount to the base fine: $90 + $50 = $140. Now double that amount for being in a school zone: $140 * 2 = $280. Now figure out how much Mark owes his lawyer: $80 / hour * 3 hours = $240. Now add the court costs, lawyer fees and fine: $240 + $300 + $280 = $820. Thus, the answer is 820. |
cot | Question: Four adults with 32 teeth went to the dentist for a checkup after realizing they were having severe tooth pain. They were found to have different numbers of damaged teeth, and each person had some teeth removed. The first person had 1/4 of all his teeth removed, and the second person had 3/8 of his teeth removed, the third person had half of his teeth removed, while the last person only had 4 teeth removed. What's the total number of teeth removed at the dental clinic? Think carefully first, then make a decision: | The first person had 1 / 4 of all his teeth removed, a total of 1 / 4 * 32 = 8 teeth. The second person had 3 / 8 of his teeth removed, meaning 3 / 8 * 32 = 12 of his teeth were removed. Together, the first and the second person had 12 + 8 = 20 teeth removed in total. The third person had half of his teeth removed, which were 1 / 2 * 32 = 16 teeth. The first three people had a total of 20 + 16 = 36 teeth removed from their mouth. The last person only had 4 teeth removed, bringing the total number of teeth removed at the dentist clinic to be 36 + 4 = 40 teeth. So the answer is 40. |
cot | Question: If Ken's house is twice as far from Dawn's house as Mary's house along a certain road, and Ken's house is 4 miles away from Dawn's house along this same road, how much distance (in miles) will Ken cover if he goes from his house to Dawn's house, then Mary's, then back to Dawn's before going back to his own house? Think carefully first, then make a decision: | Ken's house is twice as far from Dawn's house as Mary's, so the distance between Ken's and Mary's is half that between Ken's and Dawn's (4 miles) which means the former is (1 / 2) * 4 miles = 2 miles. If Ken goes from his house to Dawn's, he has covered 4 miles. He goes from there to Mary's (2 miles, same as Ken's to Mary's) for a total of 4 + 2 = 6 miles. He goes back to Dawn's (another 2 miles) for a total of 6 + 2 = 8 miles. Then he goes to his own house (4 miles) for a final total of 8 + 4 = 12 miles. So the answer is 12. |
cot | Mrs. Brynlee reduced the prices of items in her store by 20% after the local government gave small businesses in her county a subsidy. If the price of a shirt in the store was $60 and that of the leather jacket was $90, calculate the amount of money Teagan will pay for buying 5 shirts and 10 leather jackets at the reduced prices. Let's be accurate as possible. | If the price of a shirt in the store was $60, its price was reduced by 20 / 100 * $60 = $12. The price of a shirt was reduced to $60 - $12 = $48. Teagan will pay $48 * 5 = $240 for buying 5 shirts. If the initial price of the leather jacket was $90, the price reduced by 20 / 100 * $90 = $18. The final leather jacket after Mrs. Brynlee reduced the price by 20% is $90 - $18 = $72. Teagan will pay $72 * 10 = $720 for buying 10 leather jackets. The amount of money Teagan paid to Mrs. Brynlee for the shirts and the leather jackets is $720 + $240 = $960. The answer: 960. |
cot | Question: Linda was going to pass out homemade cookies to each of her 24 classmates on the last day of school. She wanted to give each student 10 cookies and wanted to make chocolate chip cookies and oatmeal raisin cookies. Each cookie recipe made exactly 4 dozen cookies. She was able to make 2 batches of chocolate chip cookies before running out of chocolate chips. She made 1 batch of oatmeal raisin cookies. How many more batches of cookies does Linda need to bake? Think carefully first, then make a decision: | She has 24 classmates and wants to give each 10 cookies, so she needs to bake 24 * 10 = 240 cookies. Each batch makes 4 dozen cookies so that means each batch has 4 * 12 = 48 cookies. She baked 2 batches of chocolate chip and one batch of oatmeal raisin so 2 + 1 = 3 batches. We know that each batch has 48 cookies so 3 * 48 = 144 cookies have been baked. She needs to have 240 cookies and has baked 144 so 240 - 144 = 96 cookies are needed. Again, each batch makes 48 cookies and we need 96 more cookies so 96 / 48 = 2 more batches are needed. So the answer is 2. |
cot | Answer the following Q with stream of consciousness. Context: Presented as a gift in 1848 to Thomas Francis Meagher from a small group of French women sympathetic to the Irish cause, it was intended to symbolise the inclusion and hoped-for union between Roman Catholics and Protestants, the significance of the colours outlined by Meagher was, "The white in the centre signifies a lasting truce between Orange and Green and I trust that beneath its folds the hands of Irish Protestants and Irish Catholics may be clasped in generous and heroic brotherhood." Question: what does the white on the irish flag represent? | To answer the question, consider the following: Presented as a gift in 1848 to Thomas Francis Meagher from a small group of French women sympathetic to the Irish cause, it was intended to symbolise the inclusion and hoped-for union between Roman Catholics and Protestants, the significance of the colours outlined by Meagher was, "The white in the centre signifies a lasting truce between Orange and Green and I trust that beneath its folds the hands of Irish Protestants and Irish Catholics may be clasped in generous and heroic brotherhood." Therefore, the final answer is a lasting truce between Orange and Green. |
cot | Lizzy: June has $500 for buying school supplies for the new school year. She buys four maths books at $20 each, six more science books than maths books at $10 each, and twice as many art books as maths books at $20 each. If she also bought music books, how much money did she spend on music books?. Me: Hmmm, let me think. I think this is the detailed solution: | The total cost of maths books is 4 * 20 = $80$. She bought six more science books than maths books which totals 6 + 4 = 10 books. If each science book cost her $10 she spent 10 * 10 = $100 on science books. There were twice as many art books as maths books which total 2 * 4 = 8. The total cost for art books is 8 * 20 = $160. The total amount that she used for maths, science, and art books is 160 + 100 + 80 = $340. The amount she spent on music books is 500 - 340 = $160. Final answer: 160. |
cot | Chloe and Max played Mario Kart together. The ratio of Chloe’s wins to Max’s wins is 8:3. Chloe won 24 times. How many times did Max win? Let's answer step by step: | We are trying to figure out how many times Max won at Mario Kart, so we'll call that number Y. We know the ratio of Chloe’s wins to Max’s wins is 8 / 3, so 8 / 3 = 24 / Y. Next, we will multiply to find the cross - products. 8 x Y = 3 x 24 or 8Y = 72. We want to get figure out Y, so we need to get it by itself by dividing by 8, like this: 8Y / 8 = 72 / 8. Y = 9, so Max won 9 times. The answer: 9. |
cot | Question: Geordie takes a toll road on his drive to work and back every day of his five-day workweek. The toll is $12.50 per car or $7 per motorcycle. Both his car and his motorcycle get 35 miles per gallon of gas and the commute to work is 14 miles. Gas costs him $3.75 per gallon. Geordie drives his car to work three times a week and his motorcycle to work twice a week. How many dollars does he spend driving to work and back on the same route in a week? Think carefully first, then make a decision: | Geordie pays 12.50 * 3 = $37.50 for car tolls driving to work three times a week. He pays 7 * 2 = $14 for motorcycle tolls driving to work twice a week. He drives 14 * 5 = 70 miles to work each five - day workweek. He uses 70 / 35 = 2 gallons of gas on the drive. He spends 3.75 * 2 = $7.50 on gas each week. Thus, he spends 37.50 + 14 + 7.50 = $59 driving to work. Since he drives to work and back from work, he spends 59 * 2 = $118 a week. So the answer is 118. |
cot | Marcia needs to add 3 skirts, 2 pairs of pants and 5 blouses to her work wardrobe. A department store is offering a sale on pants; buy 1 pair get 1 pair 1/2 off. If her skirts are $20.00 each, the blouses are $15.00 and both pairs of pants are $30.00 each. How much will she spend on her wardrobe? Thoughts? Step-by-step reasoning: | The pants are $30.00 and are buy one get one 1 / 2 off so the second pair will be 30 * .5 = $15.00. The first pair of pants is $30.00 and the second pair is $15.00 so the pants cost 30 + 15 = $45.00. The skirts are $20.00 each and she’s buying 3 so that’s 20 * 3 = $60.00. The blouses are $15.00 each and she’s buying 5 so that’s 15 * 5 = $75.00. All total, her wardrobe will cost $45 for the pants, $60 for the skirts and $75 for the blouses so 45 + 60 + 75 = $180.00. Thus, the answer is 180. |
cot | Kelly booked a three week vacation to visit relatives. The first day, she spent traveling. The next 5 days she spent at her Grandparents' house. The next day, she spent traveling. Then, she spends the next 5 days at her brother's house. Then she spent two days traveling to her sister's house, spent several days at her sister's house, and then spent two more days traveling home. How many days did she spend at her sister's house? Think carefully first, then make a decision: | Three weeks is 7 * 3 = 21 days. She traveled one day to her grandparents' house, one day to her brother's house, two days to her sister's house, and two days back home for a total of 1 + 1 + 2 + 2 = 6 days. She spent 5 days at her grandparents' house and 5 days at her brother's house, for a total of 5 + 5 = 10 days. Thus, of the 21 vacation days, the number of days remaining to spend with her sister was 21 - 6 - 10 = 5 days. So, the answer is 5. |
cot | My question is: In a shipping container, there are 10 crates. Each crate is filled with 6 boxes and each box is filled with 4 washing machines. A worker removes 1 washing machine from each box. There are no other changes. How many washing machines were removed from the shipping container? Your thoughts: | Initially, there were 6 boxes * 4 washing machines per box = 24 washing machines in each crate. So there were 24 washing machines per crate * 10 crates = 240 washing machines in the shipping container. A worker removes 1 washing machine from each box so there are now 4 original washing machines - 1 removed washing machine = 3 washing machines in each box. This means there are 6 boxes * 3 washing machines per box = 18 washing machines in each crate. So there are now 18 washing machines per crate * 10 crates = 180 washing machines in the shipping container. The difference is how many machine washing machines were removed which is 240 initial washing machines – 180 current washing machines = 60 washing machines. The final answer: 60. |
cot | Tom hasn't been sleeping well lately. He figures he has been getting about 5 hours of sleep each weeknight and 6 hours each night on the weekend. If Tom would ideally like to get 8 hours of sleep each night on both weeknights and weekends, how many hours of sleep is Tom behind on from the last week? Let's answer step by step: | Tom ideally wants to sleep 8 hours a night for 7 days, 8 x 7 = 56 hours sleep total for the week. Tom has actually only slept 5 hours each weeknight, 5 x 5 = 25 hours of sleep. Tom has only slept 6 hours each night on the weekend, 6 x 2 = 12 hours of sleep. Total, Tom has gotten 25 + 12 hours = 37 hours sleep. The difference between how many hours Tom would like to sleep, 56, and how many hours he's actually slept, 37, is 56 - 37 = 19 hours of sleep that Tom is behind on. The answer: 19. |
cot | Peter is raking leaves. It takes him 15 minutes to rake 3 bags of leaves. If he keeps raking at the same rate, how long will it take him to rake 8 bags? Let's be accurate as possible. | We are trying to figure out how long it will take Peter to rake 8 bags of leaves, so we'll call that Y. And we know Peter can rake 3 bags of leaves / 15 minutes = 8 bags of leaves / Y. Next, we will multiply to find the cross - products. 3 x Y = 15 x 8 or 3Y = 120. We want to get figure out Y, so we need to get it by itself by dividing by 3, like this: 3Y / 3 = 120 / 3 or Y = 40 minutes. The answer: 40. |
cot | There were students from three different schools taking part in a debate organized by the town's mayor on a stage. The first school had twice as many students as the second school, and the second school had 40 more students than the third school. If the third school had 200 students, and after the debate was over, every student shook the mayor's hand, calculate the total number of students who shook the mayor's hand on the stage. Let's be accurate as possible. | If the third school had 200 students, and the second school had 40 more students than the third school, the second school had 200 + 40 = 240 students. The third and second schools had 240 + 200 = 440 students on stage taking part in the debate. Since the first school had twice as many students as the second school, and the second school had 240 students, the first school had 240 * 2 = 480 students on stage taking part in the debate. If after the debate was over, every student at the stage shook the mayor's hand, the number of students who shook the mayor's hand is 480 + 440 = 920 students. The answer: 920. |
cot | Give the step-by-step reasoning process and then the final answer. Jackson is making dinner. He makes a salad out of lettuce (50 calories), carrots (twice the calories of the lettuce) and dressing (210 calories). He also makes a pizza with 600 calories for the crust, 1/3 the crust's calories for the pepperoni, and 400 calories for the cheese. If Jackson eats 1/4 of the salad and 1/5 of the pizza, how many calories does he eat? | First find the number of calories in the carrots: 50 calories * 2 = 100 calories. Then find the total calories in the salad: 100 calories + 50 calories + 210 calories = 360 calories. Then find the number of calories in the pepperoni: 1 / 3 * 600 calories = 200 calories. Now find the total number of calories in the pizza: 200 calories + 600 calories + 400 calories = 1200 calories. Now find how many calories are in Jackson's portion of the salad: 360 calories * 1 / 4 = 90 calories. Now find how many calories are in Jackson's portion of the pizza: 1200 calories * 1 / 5 = 240 calories. Now find the total calories Jackson ate: 90 calories + 240 calories = 330 calories. The final answer: 330. |
cot | In five years, Grant will be 2/3 the age of the hospital that he is hired into. If Grant is currently 25 years old, how old is the hospital now? Thoughts? Step-by-step reasoning: | If Grant is currently 25 years old, he will be 25 + 5 = 30 years old in five years. If 2 / 3 represents Grant's age in five years, then the fraction representing the number of years the hospital is older than Grant is 1 - 2 / 3 = 1 / 3. If 2 / 3 represents 30 years, 3 / 3, which is the fraction representing the age of the hospital, represents 3 / 3 * 30 * 3 / 2 = 45 years. Currently, the hospital is 45 - 5 = 40 years old. Thus, the answer is 40. |
cot | My question is: A mother is serving pizza at her son's birthday party. After buying 5 pizzas, she must decide how many slices to divide each pizza into so that everyone at the party ends up with an equal number of slices. There are a total of 20 children at the party, and she can choose to divide each pizza into either 6, 8, or 10 slices. Assuming she does not want to throw away any pizza, how should many slices should she choose to divide the pizzas into to make sure everyone receives an equal amount? Your thoughts: | Checking each possibility, we can see that dividing each pizza into 6 slices yields 5 * 6 = 30 total slices, dividing each pizza into 8 slices yields 5 * 8 = 40 total slices, and dividing each pizza into 10 slices yields 5 * 10 = 50 total slices. Because each child must receive the same number of slices, the total number of slices must be evenly divisible by 20. The only option that satisfies this requirement is dividing the pizza into 8 slices, as 40 / 20 = 2 slices per child. Therefore, the mother should divide each pizza into 8 slices. The final answer: 8. |
cot | The cost of transporting 80 bags of cement, each weighing 50 kgs, is $6000. What's the cost of transporting three times as many cement bags, each weighing 3/5 times as many kgs? Give me reasons, before answering the question | Three times as many cement bags is 3 * 80 = 240 cement bags. If a bag of cement weighs 50 kg, 3 / 5 times as much weight is 3 / 5 * 50 = 30 kgs. If the cost of transporting 80 bags of cement, each weighing 50 kgs, is $6000, the cost of transporting one bag of cement weighing 50 kg is $6000 / 80 = $75. Since a bag weighing 50 kgs costs $75 to transport, a bag weighing 30 kgs will cost 30 * $75 / 50 = $45 to transport. The cost of transporting 240 cement bags each weighing 30 kgs is $45 * 240 = $10800. So the final answer is 10800. |
cot | Q: Context: The Zambezi (also spelled Zambeze and Zambesi) is the fourth-longest river in Africa, the longest east-flowing river in Africa and the largest flowing into the Indian Ocean from Africa. The area of its basin is 1,390,000 square kilometres (540,000 sq mi), slightly less than half of the Nile's. The 2,574-kilometre-long river (1,599 mi) rises in Zambia and flows through eastern Angola, along the eastern border of Namibia and the northern border of Botswana, then along the border between Zambia and Zimbabwe to Mozambique, where it crosses the country to empty into the Indian Ocean. Question: where is zambezi river located on a map? Let's give stream of consciousness first: | To answer the question, consider the following: The 2,574-kilometre-long river (1,599 mi) rises in Zambia and flows through eastern Angola, along the eastern border of Namibia and the northern border of Botswana, then along the border between Zambia and Zimbabwe to Mozambique, where it crosses the country to empty into the Indian Ocean. Therefore, the final answer is rises in Zambia and flows through eastern Angola , along the eastern border of Namibia and the northern border of Botswana , then along the border between Zambia and Zimbabwe to Mozambique , where it crosses the country to empty into the Indian Ocean. |